Question

(x-3)(x+5)-(x-6)(x+6)=8

Answer 1

Х²+5х-3х-15-(х²+6х-6х-36)=х²+5х-3х-15-х²-6х+6х+36=5х-3х-15+36=
2х+21=8
2х=-13
х=-6.5

Answer 2

Let's solve the equation step by step:

Given equation:

(x - 3)(x + 5) - (x - 6)(x + 6) = 8

First, let's expand the expressions within the parentheses:

(x^2 + 5x - 3x - 15) - (x^2 + 6x - 6x - 36) = 8

Simplify the expressions:

(x^2 + 2x - 15) - (x^2 - 36) = 8

Now, distribute the negative sign to the terms within the second set of parentheses:

x^2 + 2x - 15 - x^2 + 36 = 8

The x^2 terms cancel out:

2x - 15 + 36 = 8

Combine the constants:

2x + 21 = 8

Subtract 21 from both sides:

2x = -13

Divide by 2:

x = -6.5

So, the solution for the given equation is x = -6.5.